λ
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7,475,780

22 × 5 × 13 × 28753
Abundant Even Composite

7,475,780 factors as 2^2 × 5 × 13 × 28753. Its 24 positive divisors give a proper-divisor sum of 9,431,572, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 28753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,907,352
Proper Divisor Sum 9,431,572
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7475771 ← → #7475789

Radix Representation

Decimal 7475780
Binary 11100100001001001000100 (23 bits)
Octal 0o34411104
Hexadecimal 0x721244

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 28,753 57,506 115,012 143,765 287,530 373,789 575,060 747,578 1,495,156 1,868,945 3,737,890 7,475,780

Collatz Trajectory (173 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,475,780 3,737,890 1,868,945 5,606,836 2,803,418 1,401,709 4,205,128 2,102,564 1,051,282 525,641 1,576,924 788,462 394,231 1,182,694 591,347 1,774,042 887,021 2,661,064 1,330,532 665,266 332,633 997,900 498,950 249,475 748,426 374,213 1,122,640 561,320 280,660 140,330 70,165 210,496 105,248 52,624 26,312 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322

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